3284412271140 has 1920 divisors, whose sum is σ = 13458395381760. Its totient is φ = 588910694400.

The previous prime is 3284412271111. The next prime is 3284412271159. The reversal of 3284412271140 is 411722144823.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 23628865191 + ... + 23628865329.

It is an arithmetic number, because the mean of its divisors is an integer number (7009580928).

Almost surely, 2^{3284412271140} is an apocalyptic number.

3284412271140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3284412271140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729197690880).

3284412271140 is an abundant number, since it is smaller than the sum of its proper divisors (10173983110620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3284412271140 is a wasteful number, since it uses less digits than its factorization.

3284412271140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 3284412271140 in words is "three trillion, two hundred eighty-four billion, four hundred twelve million, two hundred seventy-one thousand, one hundred forty".